Propose detailed ways that could help to solve the problem of the shortage of special machine time.

Without more information, it is impossible to give a truly detailed answer here.

In economic terms, there are two main ways that this shortage can be addressed. First, the price of using the machine could be increased. If the price of using it goes up, the quantity of machine time that is demanded will go down and the shortage will disappear (if the price is raised enough). The other possibility is to create a greater supply of the machine time. This would involve making new machines.

Without a more detailed description of what is going on, we cannot really give more detailed solutions. Therefore, this answer simply lays out generic ways of solving a shortage of a product.